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- W2625859741 abstract "Shock waves in reactive media possess very rich dynamics: from formation ofcells in multiple dimensions to oscillating shock fronts in one-dimension. Because ofthe extreme complexity of the equations of combustion theory, most of the currentunderstanding of unstable detonation waves relies on extensive numerical simulationsof the reactive compressible Euler/Navier-Stokes equations. Attempts at a simplifiedtheory have been made in the past, most of which are very successful in describingsteady detonation waves. In this work we focus on obtaining simplified theoriescapable of capturing not only the steady, but also the unsteady behavior of detonationwaves.The first part of this thesis is focused on qualitative theories of detonation, wheread hoc models are proposed and analyzed. We show that equations as simple as aforced Burgers equation can capture most of the complex phenomena observed indetonations. In the second part of this thesis we focus on rational theories, andderive a weakly nonlinear model of multi-dimensional detonations. We also show,by analysis and numerical simulations, that the asymptotic equations provide goodquantitative predictions." @default.
- W2625859741 created "2017-06-23" @default.
- W2625859741 creator A5017462848 @default.
- W2625859741 date "2014-11-09" @default.
- W2625859741 modified "2023-09-27" @default.
- W2625859741 title "Qualitative and Asymptotic Theory of Detonations" @default.
- W2625859741 doi "https://doi.org/10.25781/kaust-120nd" @default.
- W2625859741 hasPublicationYear "2014" @default.
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